Keywords
- Fundamental Group
- Irreducible Component
- Betti Number
- Cartier Divisor
- Nodal Curve
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Abhyankar, S., Tame coverings and fundamental groups of algebraic varieties, I,II, Amer. J. Math. 81(1959), 46–94; 82(1960), 120–178.
Alibert, D. and Maltsiniotis, G., Groupe fondamental du complémentaire d'une courbe à points doubles ordinaires, Bull. Soc. Math. France 102(1974), 335–351.
Arborello, E. and Cornalba, M., A few remarks about the variety of irreducible plane curves of given degree and genus, preprint.
Deligne, P., Le groupe fondamental du complément d'une courbe plane n'ayant que des points doubles ordinaires est abélien, Séminaire Bourbaki no 543, Springer Lecture Notes 842(1981), 1–10.
Deligne, P. and Mumford, D., The irreducibility of the space of curves of given genus, Publ. Math. I.H.E.S. 36(1969), 75–100.
Esnault, H., Fibre de Milnor d'une cône sur une courbe plane singulière, Invent. Math. 68(1982), 477–496.
Fulton, W., On the fundamental group of the complement of a node curve, Annals of Math. 111(1980), 407–409.
Fulton, W., On the irreducibility of the moduli space of curves, Invent. Math. 67(1982), 87–88.
Fulton, W. and Lazarsfeld, R., Connectivity and its applications in algebraic geometry, Springer Lecture Notes 862(1981), 26–92.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Fulton, W. (1983). On nodal curves. In: Ciliberto, C., Ghione, F., Orecchia, F. (eds) Algebraic Geometry — Open Problems. Lecture Notes in Mathematics, vol 997. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061642
Download citation
DOI: https://doi.org/10.1007/BFb0061642
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12320-0
Online ISBN: 978-3-540-40047-9
eBook Packages: Springer Book Archive
